How to Find GCF of 8387/176, 7360/924?

GCF of 8387/176, 7360/924

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8387/176, 7360/924 i.e 1/3696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8387/176, 7360/924.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8387/176,7360/924?

Given fractions are 8387/176,7360/924

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8387/176,7360/924, numerators are 8387,7360

Denominators are 176,924

The GCF of 8387,7360 is 1 .

LCM of 176,924 is 3696.

The greatest common factor of 8387/176,7360/924 = [GCF of 8387,7360]/[LCM of 176,924]= 1/3696

Therefore, the GCF of 8387/176,7360/924 is 1/3696.

Greatest Common Factor of 8387,7360

To find the highest common factor of 8387,7360, we have to find the factors of both numbers and list the highest common factor.

The factors of 8387 are 1, 8387

The factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360

The HCF of 8387,7360 is 1.

Lets's calculate GCF of 8387,7360

Greatest Common Factor (GCF) of 8387,7360 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8387,7360 By Matching Biggest Common Factor Method

Now, list down the factors of 8387

1,8387

Now, list down the factors of 7360

1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360

Greatest Common Factor

We found the factors 8387,7360 . The biggest common factor number is the GCF number.
So the greatest common factor 8387,7360 is 1.

Lets's calculate LCM of 176,924

Lowest Common Multiple of 176,924 using Common Division

2	176, 924
2	88, 462
11	44, 231
	4, 21

∴ So the LCM of the given numbers is 2 x 2 x 11 x 4 x 21 = 3696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3696

Therefore, the GCF of Fractions 8387/176,7360/924 is 1/3696

Least Common Multiple of 176,924 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 176,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,924) = 44

common factors(in case of two or more numbers have common factors) = 1

GCF(176,924) x common factors =44 x 1 = 44

LCM(176,924) = ( 176 × 924 ) / 44

LCM(176,924) = 162624 / 44

LCM(176,924) = 3696

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8387/176, 7360/924

1. What is the HCF of 8387,7360?

The HCF of 8387,7360 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 8387/176, 7360/924?

Answer: GCF of Numerators as per given numbers 8387/176, 7360/924 is

GCF of Numerators i.e. for 8387,7360 is 1

LCM of denominators i.e. for 176,924 is 3696.

Thus, GCF of Fractions is 1/3696.Finally, GCF of Fractions for 8387/176, 7360/924 is 1/3696.